Asap i will mark brainlest if correct

<A = 124

Step-by-step explanation:

Remark

This figure has 7 angles. Therefore it can have 5 lines drawn from 1 vertex to all the other vertexes.  That gives you 5 triangles. See the diagram below to see the result of what I have just described. The sum total of all the interior angles is  5 * 180 = 900

Equation

Add the seven given angles from your figure to equal 900

(9x - 2) + (10x + 2) + 165 + 100 + (5x + 83) + (12x + 18) + 138 = 900

Solution

Now add all the like terms on the left together.

So this simplifies to

36x + 504 = 900                        Subtract 504 from both sides

36x + 504 - 504 = 900 - 503    Do the subtraction

36x = 396                                   Divide by 36 on both sides

x = 396/36                                  Do the division

x = 14                                          

Answer

But you want angle A.

<A = 9x - 2 = 9*14 - 2 = 126 - 2 = 124

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.